Match the Graph to the Correct Data Table: A Detailed Comparison Task

Question

Given the following graph, determine which table corresponds to the following table

–2–2–2–1–1–1111222333444555666777888999101010111111121212–1–1–1111222333444555666777000

Video Solution

Solution Steps

00:00 Choose the appropriate table
00:03 We want to find points on the graph and place them in the table
00:08 We'll take a specific X value and find the corresponding Y value according to the graph
00:13 We'll place each point in the table
00:24 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Analyze the graph to identify clear points of intersection with integer coordinates.

  • Step 2: Compare these identified points with each table option to find the correct match.

Now, let's work through each step:
Step 1: Upon inspecting the graph, observe the plotted points of intersection:
- When X=2 X = 2 , Y=3 Y = 3 - When X=3 X = 3 , Y=2 Y = 2 - When X=4 X = 4 , Y=1 Y = 1
Step 2: Next, compare these coordinates with each choice provided:

  • - Option 1: Coordinates do not match.

  • - Option 2: Coordinates do not match.

  • - Option 3: Matches (2,3)(2, 3), (3,2)(3, 2), (4,1)(4, 1).

  • - Option 4: Coordinates do not match.

Therefore, the solution to the problem is Choice 3.

We carefully identified points on the graph and matched them to the provided tables to select the correct option.

Answer

XY234321